Ok, let me try to explain it again then. Hurricanes rotate counterclockwise in the northern hemisphere, so the winds on the east side of the eye will be blowing from south to north. With me so far? If the hurricane is also moving to the north, the forward speed will be added to the south-to-north winds on the east side of the eye, and subtracted from the north-to-south winds on the west side. It's simple geometry. For example, if the maximum winds in the hurricane are 145 mph relative to its center, and it's moving north at 15 mph, the actual winds (relative to the ground) on the east side will be 160 mph, and on the west side will be 130 mph.
Hope *that* is clear :)